𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Computing the joint spectral radius

✍ Scribed by Gustaf Gripenberg

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
519 KB
Volume
234
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Computing the numerical radius
Computing the numerical radius
✍ G.A. Watson πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 290 KB
Joint Spectral Radius, Operator Semigrou
Joint Spectral Radius, Operator Semigroups, and a Problem of W. WojtyΕ„ski
✍ Victor S. Shulman; YuriΔ± V. TurovskiΔ± πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 361 KB

We investigate the connections between the invariant subspace problem for operator semigroups and the joint spectral radius. As a consequence, it is proved that any quasinilpotent Lie algebra of compact operators on a Banach space is triangularizable. We extend the Berger Wang formula to precompact

Linear Maps Preserving the Spectral Radi
Linear Maps Preserving the Spectral Radius
✍ Matej BreΕ‘ar; Peter Ε emrl πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 402 KB

Let X be a complex Banach space. If 8: B(X) Γ„ B(X) is a surjective linear map such that A and 8(A) have the same spectral radius for every A # B(X), then 8=c3 where 3 is either an algebra-automorphism or an antiautomorphism of B(X) and c is a complex constant such that |c|=1.

The Spectral Radius of Graphs on Surface
The Spectral Radius of Graphs on Surfaces
✍ M.N. Ellingham; Xiaoya Zha πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 152 KB

This paper provides new upper bounds on the spectral radius \ (largest eigenvalue of the adjacency matrix) of graphs embeddable on a given compact surface. Our method is to bound the maximum rowsum in a polynomial of the adjacency matrix, using simple consequences of Euler's formula. Let # denote th